On the class numbers of Q(√±2p) modulo 16, for p ≡ 1 (mod 8) a prime

DOI10.4064/AA-40-3-289-296zbMath0491.12003OpenAlexW4248820782MaRDI QIDQ3952200

Kenneth S. Williams, Pierre Kaplan

Publication date: 1982

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205817

zbMATH Keywords

class numberquadratic fieldfundamental unit

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23)

Related Items (6)

Congruences dyadiques entre nombres de classes de corps quadratiques. (Dyadic congruences between class numbers of quadratic fields) ⋮ Module de continuité des fonctions \(L\) 2-adiques des caractères quadratiques. (Modulus of continuity of 2-adic L-functions of quadratic characters) ⋮ On linear congruence relations between class numbers of quadratic fields ⋮ Spins of prime ideals and the negative Pell equation ⋮ Nouvelle demonstration d'une congruence modulo 16 entre les nombres de classes d'ideaux de \(Q(\sqrt{-2p})\) et \(Q(\sqrt{2p})\) pour p premier = 1 (mod 4) ⋮ On abelian 2-ramification torsion modules of quadratic fields

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